eISSN 2093-744X
pISSN 1598-2645

Table 1

Comparison between our first fourth-order approximate solutions u₄(x) of Example 1 and the solutions in other studies

x	Exact	u₄(x)	ADM [29]	WGM [33]	HPM [34]
0.0000	0.0000	0.0000	0.0000	0.0000	0.0000
0.0312	− 0.0312	−0.03119992103	− 0.0311999	−0.0312	−0.03120
0.0625	− 0.0625	−0.06249872844	− 0.0624987	−0.0625	−0.06250
0.0938	− 0.0938	−0.09379354920	− 0.0937935	−0.0937	−0. 09380
0.1250	− 0.1250	−0.3978731510	− 0.1249800	−0.1250	−0. 12498
0.1562	− 0.1562	−0.1561504020	− 0.1561500	−0.1562	−0. 15615
0.1875	− 0.1875	−0.1873970355	− 0.1873970	−0.1874	−0.18740
0.2188	− 0.2188	−0.2186091064	− 0.2186090	− 0.2186	−0.21861
0.2500	− 0.2500	−0.2496747212	− 0.2496750	− 0.2497	−0.24968
0.2812	− 0.2812	−0.2806795005	− 0.2806800	− 0.2807	−0.28068
0.3125	− 0.3125	−0.3117064248	− 0.3117060	− 0.3117	−0.31171

International Journal of Fuzzy Logic and Intelligent Systems 2024;24:271~279 https://doi.org/10.5391/IJFIS.2024.24.3.271